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Finding the Third Proportional to 102,894 and 224,724

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Solution

The third proportional to 102,894 and 224,724 is: 490,804.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,894 : 224,724 = 224,724 : x
  2. Step 2: Convert to fraction form
    102,894/224,724 = 224,724/x
  3. Step 3: Cross multiply
    102,894x = 224,724 × 224,724
  4. Step 4: Simplify right side
    102,894x = 50,500,876,176
  5. Step 5: Solve for x
    x = 50,500,876,176/102,894
  6. Step 6: Final answer
    x = 490,804.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.